The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  0  1 18  1  1  1  3  1  0  1  3  1  3  3  1 18  3  3
 0  3  0  0 24 21  3 15 24  9 18 21 21 24  6 18 24 21 24 18  3 15  0 18 12 12 24  3 18  6 21  6  6  6 12 12 24 12  0 12  6 12 24  0 21  6 18  3  9 21  3  0  6 18 15 18 24 18 12  3 21  3  0  0 18 24  6 18 24 21  0  9 15 18 18 24 21
 0  0  3 24  9  6  3 21 15 15  0 15  3 18 12 12 24  9  9  9  0 12  6  3 12 15 24 12  0 12  0  9  6  3  3  6 18 12 15 24  3 24  6 21 18 18 24  6  9 18  9  9 15 24 24 18  6 24 18 15  6 12  3 24  6 18  9  3  0  6 18 15  3  3  3 18 24
 0  0  0  9  0  0  0  0  0  0 18 18  9  9 18  9 18  9 18  9 18  9 18 18 18  9  9 18  9  9  9  9 18  9  9  9 18  0 18  0 18 18  0  0 18  0 18  0  0  0 18  0  0  9  9 18  9  0  9  0  9 18 18  0 18  0  0  0 18  9  9 18 18  0  9 18 18

generates a code of length 77 over Z27 who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+460x^147+270x^149+814x^150+810x^152+862x^153+1458x^155+774x^156+378x^158+388x^159+168x^162+54x^165+58x^168+38x^171+26x^174+2x^198

The gray image is a code over GF(3) with n=693, k=8 and d=441.
This code was found by Heurico 1.16 in 0.496 seconds.